Joke Collection Website - Mood Talk - For example, in the parallelogram ABCD, the square of AE is ∠ bad, and the square of CF is ∠BCD, so are AC and EF equally divided? Please tell me your reasons.

For example, in the parallelogram ABCD, the square of AE is ∠ bad, and the square of CF is ∠BCD, so are AC and EF equally divided? Please tell me your reasons.

AC and EF are equally divided.

Proved as follows:

∵ Quadrilateral ABCD is a parallelogram.

∴∠BAD=∠BCD,AD∥BC，

∴∠DAE=∠BEA

∫AE, CF divides∠ ∠BAD and∠ BCD equally.

∴∠bae=∠dae= 1/2∠bad,∠bcf=∠dcf= 1/2∠bcd，

∫∠BAD =∠BCD，

∴∠DAE=∠BCF

∠∠DAE =∠BEA，

∴∠BEA=∠BCF∴AE∥CF

And ∵AF∨CE,

∴ Quadrilateral AECF is a parallelogram,

Ac and ef are equally divided.